Bayesian Statistics for Beginners: A Step-by-step ApproachBayesian statistics is currently undergoing something of a renaissance. At its heart is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available. It is an approach that is ideally suited to making initial assessments based on incomplete or imperfect information; as that information is gathered and disseminated, the Bayesian approach corrects or replaces the assumptions and alters its decision-making accordingly to generate a new set of probabilities. As new data/evidence becomes available the probability for a particular hypothesis can therefore be steadily refined and revised. It is very well-suited to the scientific method in general and is widely used across the social, biological, medical, and physical sciences. Key to this book's novel and informal perspective is its unique pedagogy, a question and answer approach that utilizes accessible language, humor, plentiful illustrations, and frequent reference to on-line resources. Bayesian Statistics for Beginners is an introductory textbook suitable for senior undergraduate and graduate students, professional researchers, and practitioners seeking to improve their understanding of the Bayesian statistical techniques they routinely use for data analysis in the life and medical sciences, psychology, public health, business, and other fields. |
Contents
SECTION 2 Bayes Theorem and Bayesian Inference | 27 |
SECTION 3 Probability Functions | 85 |
SECTION 4 Bayesian Conjugates | 131 |
SECTION 5 Markov Chain Monte Carlo | 191 |
SECTION 6 Applications | 267 |
APPENDIX 1 The BetaBinomial Conjugate Solution | 369 |
APPENDIX 2 The GammaPoisson Conjugate Solution | 373 |
APPENDIX 3 The NormalNormal Conjugate Solution | 379 |
APPENDIX 4 Conjugate Solutions for Simple Linear Regression | 385 |
APPENDIX 5 The Standardization of Regression Data | 395 |
| 399 | |
Hyperlinks Accessed August 2017 | 403 |
| 413 | |
| 414 | |
Other editions - View all
Bayesian Statistics for Beginners: a step-by-step approach Therese M. Donovan,Ruth M. Mickey Limited preview - 2019 |
Bayesian Statistics for Beginners: A Step-by-step Approach Therese M. Donovan,Ruth M. Mickey No preview available - 2019 |
Common terms and phrases
alternative hypotheses Answer assume b₁ Bayesian analysis Bayesian inference Bayesian network Bayesian Statistics beta distribution blue calculate chapter column compute the posterior conditional probability conjoint table conjugate solution datapoint dataset denominator diagram draw a random equation example gamma distribution Gibbs sampling given graph grit Hamilton hyperparameters hypothesis is true infinite number joint probability lefty likelihood of observing look Madison maple syrup marginal probability MCMC analysis MCMC trial mean Metropolis algorithm Morton's toe node normal distribution normal pdf observed data observing the data Once-ler outcomes P(data payoff posterior density posterior distribution posterior probability Pr(A Pr(B Pr(Hamilton prior distribution prior probability probability density function probability distribution probability mass function probability of observing Proposal Distribution random number random variable Shaq shown in Figure standard deviation Step success Thneed Business Thomas Bayes Truffula tuning parameter unknown parameter update the prior Wikipedia αο βο ητ


